A MATHEMATICAL MODEL OF REVERBERATION IN A ROOM BASED ON MARKOV CHAIN TAKING INTO CONSIDERATION DIFFUSION OF THE SOUND FIELD
Toshiki Hanyu · Journal of Environmental Engineering (Transactions of AIJ) · 2016
The aim of this study is to develop a mathematical model of reverberation in a room on the basis of a Markov chain, taking into consideration the diffusion of the sound field. In this study, first, the Markov chain model was examined; it was shown that the mean scatter time (MST) and the scatter-to-absorption ratio (SAR), as evaluation indices of sound field diffusion, could be derived from the model. It was also shown that reverberation energy decay divided into specular and scattered components, which were calculated by this model. Finally, using geometrical computer simulation, it was confirmed that the proposed mathematical model was appropriate.